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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

$ F$-pure thresholds of binomial hypersurfaces


Author: Daniel J. Hernández
Journal: Proc. Amer. Math. Soc. 142 (2014), 2227-2242
MSC (2010): Primary 13A35, 13B25, 13P99, 14Q10
Published electronically: March 28, 2014
MathSciNet review: 3195749
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Abstract | References | Similar Articles | Additional Information

Abstract: In this article, we develop an algorithm that computes the $ F$-pure threshold of a binomial hypersurface over a field of characteristic $ p>0$. This algorithm is related to earlier work of Shibuta and Takagi (e.g., both depend on properties of certain associated rational polytopes), but differs in that it works in all characteristics.


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Additional Information

Daniel J. Hernández
Affiliation: Mathematical Sciences Research Institute, 17 Gauss Way, Berkeley, California 94720-5070
Address at time of publication: Department of Mathematics, The University of Utah, Salt Lake City, UT 84112
Email: dhernan@math.utah.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2014-11941-1
Received by editor(s): October 11, 2011
Received by editor(s) in revised form: July 13, 2012
Published electronically: March 28, 2014
Additional Notes: The author was partially supported by the National Science Foundation RTG grant number 0502170 at the University of Michigan.
Communicated by: Irena Peeva
Article copyright: © Copyright 2014 Daniel J. Hern\'andez



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